Abstract | ||
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Using methods and notions stemming from recursion theory, new lower bounds on the "distance" between certain intractable sets (like NP-complete or EXPTIME-complete sets) and the sets in P are obtained. Here, the distance of two sets A and B is a function on natural numbers that, for each n, gives the number of strings of size n on which A and B differ. Yesha [6] has shown that each NP-complete set has a distance of at least O(log log n) from each set in P, assuming P ≠ NP. Similarly, whithout an additional assumption, each EXPTIME-complete set has a distance of at least O(log log n) from each set in P. |
Year | DOI | Venue |
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1986 | 10.1007/3-540-16761-7_86 | ICALP |
Keywords | Field | DocType |
recursion theoretic arguments,extended abstract,lower bounds,recursion theory,lower bound | Discrete mathematics,Combinatorics,Double recursion,Recursion,Mathematics | Conference |
ISBN | Citations | PageRank |
3-540-16761-7 | 0 | 0.34 |
References | Authors | |
6 | 1 |
Name | Order | Citations | PageRank |
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Uwe Schöning | 1 | 998 | 105.69 |